5.) A car is driven at constant speed over a circular hill and then into a circu

Question

5.) A car is driven at constant speed over a circular hill and then into a circular valley with the same radius. At the top of the hill, the normal force on the driver from the car seat is 0. The driver's mass is 70.0 kg. What is the magnitude of the normal force on the driver from the seat when the car passes through the bottom of the valley? Radius I Rackus no 6./Two blocks connected by a cord (of negligible mass) that passes over a frictionless pulley (also of negligible mass). One block has mass mi = 1.30 kg; the other has mass m2-2.80 kg. What are (a) the magnitude of the blocks' acceleration and (b) the tension in the cord?

Explanation / Answer

5. at top of curve

Applying Fnet = m a

m g - N = m v^2 / r

N = m g - m v^2 /r = 0

v^2 /r = g = 9.8 m/s^2

at bottom:

N - m g = m v^2 / r

N = m g + m v^2 /2 = 2 m g

N = 2 x 70 x 9.8 = 1372 N

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